221361163122 has 32 divisors (see below), whose sum is σ = 483296134464. Its totient is φ = 67033817600.

The previous prime is 221361163087. The next prime is 221361163151.

221361163122 is nontrivially palindromic in base 10.

221361163122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 221361163122.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1034583 + ... + 1230074.

It is an arithmetic number, because the mean of its divisors is an integer number (15103004202).

Almost surely, 2^221361163122 is an apocalyptic number.

221361163122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

221361163122 is an abundant number, since it is smaller than the sum of its proper divisors (261934971342).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

221361163122 is a wasteful number, since it uses less digits than its factorization.

221361163122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2266154.

The product of its digits is 5184, while the sum is 30.

It can be divided in two parts, 221361 and 163122, that added together give a palindrome (384483).

The spelling of 221361163122 in words is "two hundred twenty-one billion, three hundred sixty-one million, one hundred sixty-three thousand, one hundred twenty-two".